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AMC
1999
128views more  AMC 1999»
13 years 3 months ago
An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems
The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of ...
Weiye Li, Ferenc Szidarovszky
AUTOMATICA
2005
169views more  AUTOMATICA 2005»
13 years 3 months ago
Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. Th...
Shoudong Huang, Matthew R. James, Dragan Nesic, Pe...
ICARCV
2008
IEEE
193views Robotics» more  ICARCV 2008»
13 years 10 months ago
Analysis of discrete and hybrid stochastic systems by nonlinear contraction theory
—We investigate the stability properties of discrete and hybrid stochastic nonlinear dynamical systems. More precisely, we extend the stochastic contraction theorems (which were ...
Quang-Cuong Pham
AUTOMATICA
2008
93views more  AUTOMATICA 2008»
13 years 3 months ago
Further results on input-to-state stability for nonlinear systems with delayed feedbacks
We consider a class of nonlinear control systems for which stabilizing feedbacks and corresponding Lyapunov functions for the closed loop systems are available. In the presence of...
Frédéric Mazenc, Michael Malisoff, Z...
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 10 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo